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Finding the Third Proportional to 1,551,654,840 and 2,325,212,504

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Solution

The third proportional to 1,551,654,840 and 2,325,212,504 is: 3,484,417,442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551,654,840 : 2,325,212,504 = 2,325,212,504 : x
  2. Step 2: Convert to fraction form
    1,551,654,840/2,325,212,504 = 2,325,212,504/x
  3. Step 3: Cross multiply
    1,551,654,840x = 2,325,212,504 × 2,325,212,504
  4. Step 4: Simplify right side
    1,551,654,840x = 5,406,613,188,757,950,464
  5. Step 5: Solve for x
    x = 5,406,613,188,757,950,464/1,551,654,840
  6. Step 6: Final answer
    x = 3,484,417,442.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.